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math.GT2024
On Legendrian representatives of non-fibered knots
Zhenkun Li, Shunyu Wan
We show that in if is a non-trivial knot that realizes the three-dimensional Thurston-Bennequin bound (i.e. has a Legendrian representative with $tb(Λ)-…
math.GT2024
2-torsion in instanton Floer homology
Zhenkun Li, Fan Ye
This paper studies the existence of -torsion in instanton Floer homology with coefficients for closed -manifolds and singular knots. First, we show that the non-…